Question

Group of order 60

score 994 · Answer 1 · 2026-03-25 19:03:02

994

Views

Group of order 60

Published on 25 Mar 2026 - 19:03

score 445 · Answer 2 · 2019-01-11 05:12:11

445

Views

$G$ is a group of order $60$. Will $G$ always contain a subgroup of order $6$?

Published on 11 Jan 2019 - 5:12

score 609 · Answer 3 · 2019-01-11 17:13:26

609

Views

Is $\{0,1\}$ a subgroup of $\mathbb{R}$ under multiplication?

Published on 11 Jan 2019 - 17:13

score 409 · Answer 4 · 2026-03-25 06:05:52

409

Views

Quotient group of the dihedral group by $\langle r^2 \rangle.$

Published on 25 Mar 2026 - 6:05

score 361 · Answer 5 · 2026-03-25 22:03:25

361

Views

Group of order $p^{\alpha}q$ is not simple.

Published on 25 Mar 2026 - 22:03

score 1.5k · Answer 6 · 2026-03-25 10:57:12

1.5k

Views

Can Erdős-Turán $\frac{5}{8}$ theorem be generalised that way?

Published on 25 Mar 2026 - 10:57

score 814 · Answer 7 · 2026-03-29 07:40:20

814

Views

Dimension of an irreducible representation and the index of the group's center

Published on 29 Mar 2026 - 7:40

score 105 · Answer 8 · 2019-01-12 21:09:21

105

Views

Homomorphism from $S_n$ to $D_k$

Published on 12 Jan 2019 - 21:09

score 123 · Answer 9 · 2026-03-27 14:58:59

123

Views

How many $g$ in a finite group are such that $b=g^{-1}ag$ for given $a\ne b$ in the group?

Published on 27 Mar 2026 - 14:58

score 114 · Answer 10 · 2026-03-25 21:01:23

114

Views

Multiplicative order of $a\bmod c^{k+1}$

Published on 25 Mar 2026 - 21:01

score 3.6k · Answer 11 · 2026-03-26 12:08:28

3.6k

Views

An abelian group $G$ of order $35$ with $g^{35}=e$ for all $g\in G$ is cyclic.

Published on 26 Mar 2026 - 12:08

score 77 · Answer 12 · 2026-03-28 00:39:03

77

Views

If $G$ is a product of subnormal $S$ and a $p$-group, does the $p$-group need to be normal to know $\mathbf{O}^p(G) = \mathbf{O}^p(S)$?

Published on 28 Mar 2026 - 0:39

score 224 · Answer 13 · 2026-03-29 07:40:09

224

Views

Can the fix point set of a nontrivial irreducible complex representation of a finite odd order group be non trivial?

Published on 29 Mar 2026 - 7:40

score 824 · Answer 14 · 2019-01-14 11:20:36

824

Views

How to compute group direct product between group of units

Published on 14 Jan 2019 - 11:20

score 34 · Answer 15 · 2026-03-25 15:47:05

34

Views

Inverse of a element $A \in \mathbb{F}_{2^m}, A \neq 0$ using Almost Inverse Algorithm

Published on 25 Mar 2026 - 15:47

List Question

Group of order 60

$G$ is a group of order $60$. Will $G$ always contain a subgroup of order $6$?

Is $\{0,1\}$ a subgroup of $\mathbb{R}$ under multiplication?

Quotient group of the dihedral group by $\langle r^2 \rangle.$

Group of order $p^{\alpha}q$ is not simple.

Can Erdős-Turán $\frac{5}{8}$ theorem be generalised that way?

Dimension of an irreducible representation and the index of the group's center

Homomorphism from $S_n$ to $D_k$

How many $g$ in a finite group are such that $b=g^{-1}ag$ for given $a\ne b$ in the group?

Multiplicative order of $a\bmod c^{k+1}$

An abelian group $G$ of order $35$ with $g^{35}=e$ for all $g\in G$ is cyclic.

If $G$ is a product of subnormal $S$ and a $p$-group, does the $p$-group need to be normal to know $\mathbf{O}^p(G) = \mathbf{O}^p(S)$?

Can the fix point set of a nontrivial irreducible complex representation of a finite odd order group be non trivial?

How to compute group direct product between group of units

Inverse of a element $A \in \mathbb{F}_{2^m}, A \neq 0$ using Almost Inverse Algorithm

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